A clock signal preamplifier comprises complementary pairs of differentially coupled transistors, with an output signal coupled to an inverter further comprising a totem-pole arrangement of complementary MOSFET transistors. The input signal to the preamplifier is typically sinusoidal, and the output signal is rectangular. Preferably, the differentially coupled transistors are bipolar, and a pair of diode clamper circuits with bipolar transistors is preferably coupled to the complementary pairs of differentially coupled transistors. A reference voltage source is coupled to the control terminals of the clamper transistors. A reference voltage source, which preferably comprises a totem-pole arrangement of complementary MOSFET transistors with its output node is coupled to its input node, provides a reference voltage for the diode clamper circuits. Preferably, MOSFET transistors of the reference voltage source and MOSFET transistors of like kind of the inverter are configured to have substantially identical threshold voltages.
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12. A clock signal preamplifier, comprising:
first and second transistors of first conductivity type, each having first and second primary terminals and a control terminal, differentially coupled relative to each other, with their first terminals commonly coupled to a first circuit voltage node;
third and fourth transistors of second conductivity type, opposite the first conductivity type, each having first and second primary terminals and a control terminal, differentially coupled relatively to each other, with their first terminals commonly coupled to a second circuit voltage node; and complementarily coupled to the first and second transistors, with the second terminals of the first and third transistors commonly coupled to provide a first component of a differential output signal and the second terminals of the second and fourth transistors commonly coupled to provide a second component of the differential output signal;
phase splitter circuitry connected and configured for receiving and splitting the phase of respective first and second components of a differential input signal, and for providing first and second phase split outputs corresponding to the first and second components to the control inputs of the first, third, second and fourth transistors, respectively; and
clamper circuitry coupled to a reference voltage node, and connected and configured for clamping voltages of the first and second components of the differential output signal, respectively.
1. A digital signal processing system comprising a clock signal preamplifier that converts an input signal to an output signal, the clock signal preamplifier comprising:
first and second transistors of first conductivity type, each having first and second primary terminals and a control terminal, differentially coupled relative to each other, with their first terminals commonly coupled to a first circuit voltage node;
third and fourth transistors of second conductivity type, opposite the first conductivity type, each having first and second primary terminals and a control terminal, differentially coupled relatively to each other, with their first terminals commonly coupled to a second circuit voltage node; and complementarily coupled to the first and second transistors, with the second terminals of the first and third transistors commonly coupled to provide a first component of a differential output signal and the second terminals of the second and fourth transistors commonly coupled to provide a second component of the differential output signal;
phase splitter circuitry connected and configured for receiving and splitting the phase of respective first and second components of a differential input signal, and for providing first and second phase split outputs corresponding to the first and second components to the control inputs of the first, third, second and fourth transistors, respectively; and
clamper circuitry coupled to a reference voltage node, and connected and configured for clamping voltages of the first and second components of the differential output signal, respectively.
8. A method of providing a preamplified output clock signal from an input clock signal, comprising the steps of:
providing complementary pairs of differentially coupled transistors coupled to sense the input clock signal; and
producing the output clock signal using the differentially coupled transistors;
coupling a pair of diode clamper circuits comprising clamper transistors to the complementary pairs of differentially coupled transistors; and
coupling at least one reference voltage source to the control terminals of the clamper transistors;
wherein the complementary pairs of differentially coupled transistors comprise:
first and second transistors of first conductivity type, each having first and second primary terminals and a control terminal, differentially coupled relative to each other, with their first terminals commonly coupled to a first circuit voltage node; and
third and fourth transistors of second conductivity type, opposite the first conductivity type, each having first and second primary terminals and a control terminal, differentially coupled relatively to each other, with their first terminals commonly coupled to a second circuit voltage node; and complementarily coupled to the first and second transistors, with the second terminals of the first and third transistors commonly coupled to provide a first component of a differential output signal and the second terminals of the second and fourth transistors commonly coupled to provide a second component of the differential output signal; and
wherein phase split parts of first and second components of a differential input signal are respectively provided to the control inputs of the first, third, second and fourth transistors.
2. The digital signal processing system according to
3. The digital signal processing system according to
4. The digital signal processing system according to
a pair of diode clamper circuits comprising clamper transistors having commonly connected control terminals, and commonly connected other terminals respectively coupled to the commonly coupled second terminals of the first and third transistors and the commonly coupled second terminals of the second and fourth transistors; and
at least one reference voltage source coupled to the control terminals of the clamper transistors.
5. The digital signal processing system according to
6. The digital signal processing system according to
7. The digital signal processing system according to
9. The method according to
10. The method according to
11. The method according to
13. The clock signal preamplifier according to
14. The clock signal preamplifier according to
a pair of diode clamper circuits comprising clamper transistors having commonly connected control terminals, and commonly connected other terminals respectively coupled to the commonly coupled second terminals of the first and third transistors and the commonly coupled second terminals of the second and fourth transistors; and
at least one reference voltage source coupled to the control terminals of the clamper transistors.
15. The clock signal preamplifier according to
16. The clock signal preamplifier according to
17. The clock signal preamplifier according to
18. The clock signal preamplifier according to
19. The clock signal preamplifier according to
20. The clock signal preamplifier according to
21. The clock signal preamplifier according to
22. The clock signal preamplifier according to
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This invention relates generally to hardware implementations of clock synchronization circuits, and in particular, to a method and implementation of digital clock synchronization circuits for analog-to-digital conversion comprising an integrated circuit.
An essential element of design in digital systems that broadly affects system performance is the creation and distribution of a precise clock signal to serve as a stable timing reference for synchronizing digital logic, particularly for sampling analog signals prior to their conversion to a digital form or for converting digital signals back to an analog form. As the role of digital logic becomes more pervasive in numerous signal-processing applications, and as the conversion of signals to digital format occurs earlier in the signal processing chain to reduce system cost and size, system performance in numerous applications such as cellular telephony and high-performance television receivers is limited by clock signal timing jitter. Applications requiring signal sampling are also frequently found in switched-capacitor system implementations and in fiber-optic systems. Clock signal timing jitter is now generally recognized as a fundamentally limiting factor of the accuracy of a signal processing sequence.
The noise contribution due to the uncertainty of the sampling instant of a high frequency input signal is directly affected by timing jitter in both the clock source and the clock distribution network. The external sinusoidal time reference produced by a low phase-noise source is usually bandpass filtered to reduce short-term timing uncertainty, usually using an external quartz filter which can reduce timing jitter from 1 ps to less than 100 fs, and is converted into a differential sinusoidal waveform using a transformer. Differential waveforms are generally the cleanest and most power-efficient signal arrangements for high-frequency synchronization. The use of external narrow-band filters to reduce short-term timing uncertainty of a sinusoidal signal is described by A. Zanchi, et al., in the paper titled “Measurement and Spice Prediction of Sub-Picosecond Clock Jitter in A-to-D Converters,” in the Proceedings of the ISCAS 2003, held in Bangkok, Thailand, May, 2003, on pages 557-560. But before a two-phase, non-overlapped, clock generation circuit that supplies downstream logic elements can be driven, the clock signal must be preconditioned, which is usually accomplished using a low-noise clock-signal preamplifier.
The general function of a front-end clock signal preamplifier is to amplify and convert a sinusoidal timing reference signal into a clock signal with a rectangular waveform supplied on a differential output that is precisely time aligned with the original sinusoidal reference signal, and without timing jitter in the amplification and conversion process. A clock signal with a rectangular waveform is generally used to gate the periodic sampling instant for analog-to-digital converters (ADCs). Differential outputs are generally used to reduce the common-mode component of a signal; however, the differential output of the preamplifier can be used in both a differential clock distribution circuit, or a single-ended one.
The performance of ADCs can be directly related to timing jitter by a well-known formula described by M. Shinagawa, et al., in “Jitter Analysis of High Frequency Sampling Systems,” published in the IEEE Journal of Solid State Circuits, Vol. 25, No. 1, February 1990, on pages 220-224:
SNRjitter=−20·log10(2πƒINσT),
where SNRjitter is the signal-to-noise contribution (in dB) to the digital signal due to sampling timing jitter of the incoming analog signal, fIN is the nominal frequency (in Hz) of the signal being sampled, and σT is the rms (root-mean square) timing jitter (in seconds) of the periodic sampling process. Intuitively, the noise produced by an ADC is proportional to the timing jitter and the slope of the voltage waveform being converted. The noise contribution due to quantization, i.e., due to imprecisely representing a signal with a limited number of bits, can be estimated from the equation:
SNRquantization=1.5+6·k,
where SNRquantization is the noise contribution in dB due to quantizing the data, and k is the number of bits used to represent the data, as described by R. A. Haddad, et al., in “Digital Signal Processing,” W. H. Freeman and Co., 1991, page 38. The equation above has been adjusted to reflect typical ADC rms input voltage relative to the full-scale input voltage of the ADC. Thus, when performing digital conversion, for example, for a 65 MS/s (megasamples per second) signal using a 16 bit ADC with 300 ps of timing jitter, the theoretical signal-to-noise ratio (SNR) is dominated by almost 20 dB by the effect of the timing jitter in the sampling process over the effect of the 16-bit quantization.
A typical two-phase clock generation and distribution circuit of the prior art is shown in
The timing jitter of the clock phase driving a signal sampling device, which ultimately limits the signal-to-noise figure of an ADC or any sampled-signal arrangement, is the rms sum of the jitter contributions from the cascaded signal-processing blocks, i.e., from the external signal source, through the clock signal preamplifier, and through the chain of buffers such as illustrated in
The general problem of minimization of the overall timing jitter, can be described as follows:
a) To reduce the clock source noise, narrow-band filtering of the external signal source is required. In the frequency range of tens of MHz, the best instrumentation available to date, such as an HP8644B low phase-noise signal source or a Wenzel signal generator, synthesizes sinusoids with jitter in excess of 1.3 ps; after a narrow bandpass crystal filter, the phase noise contribution can be reduced to about 25 fs, as described by A. Zanchi, et al., “Measurement and Spice Prediction of Sub-Picosecond Clock Jitter in A-to-D Converters,” as cited above. Thus, a differential low-noise sinusoidal clock source is now the preferred choice to sample high-speed, high-amplitude input signals.
b) The timing jitter contribution of a single signal inverter is related to the size of its components. The bigger a MOSFET gate, the smaller the jitter due to thermal noise, as described by A. Zanchi, et al., in “A 16-Bit 65 MS/s 3.3 V Pipeline ADC Core in SiGe BiCMOS with 78-dB SNR and 180 fs Jitter,” in press for the IEEE Journal of Solid-State Circuits, June 2005, and to the efficacy of decoupling against supply bounce. However, for the technology at hand, an upper bound for the digital inverter timing jitter contribution can be determined by simulation to be about 70 fs.
c) Since the prior art preamplifiers introduce timing jitter ranging from 500 fs down to 180 fs, as described by A. Zanchi, et al., in “A 16-Bit 65 MS/s 3.3 V Pipeline ADC Core in SiGe BiCMOS with 78-dB SNR and 180 fs Jitter”, cited above, and given the quadratic nature of jitter addition from multiple (statistically independent) noise sources, i.e., that the variances of independent noise sources add, it is apparent that the preamplifier is the greatest contributor to the timing jitter limitation for the signal-to-noise ratio inside a chip.
Several prior art preamplifier circuits have been presented such as by A. R. Bugeja, et al., in “Design of a 14 b 100 MS/s switched-capacitor Pipelined ADC in RFSiGe BiCMOS,” in the Proceedings of the ISCAS 2001, held in Sydney Australia, in May 2001, on pages 428-431, in the datasheet for the LTC 1748 14-bit, 80 MS/s Low Noise ADC, Linear Technology Corp., 2003, page 15, and by A. Zanchi, et al., “A 16-Bit 65 MS/s 3.3 V Pipeline ADC Core in SiGe BiCMOS with 78-dB SNR and 180 fs Jitter,” as cited above, and are illustrated in
Turning to
An improved version of the clock-signal preamplifier circuit illustrated in
A third version from the prior art of a clock-signal preamplifier circuit using a PMOS pseudo-latch which provides positive feedback during the voltage transition of the output clock signal is illustrated in
The main limitations of the prior art circuits are thus passive pull-up of the output, which results in slow transition times, making them more sensitive to timing uncertainties, and forced usage of MOSFET devices to yield larger output swings, which generally results in reduced output voltage transition slopes and higher device noise (e.g., a 1/f-dependent noise component), in turn requiring additional buffer stages which introduce more sources of jitter, as described by A. Zanchi, et al., in “A 16-Bit 65 MS/s 3.3 V Pipeline ADC Core in SiGe BiCMOS with 78-dB SNR and 180 fs Jitter”, cited above, and by J. A. McNeill, “Jitter in Ring Oscillators,” published in the IEEE Journal of Solid-State Circuits, Vol. 32, No. 6, June 1997, on pages 870-879.
Thus, the prior art approach uses passive pull-up circuits and/or cross-coupled transistors in the clock-signal preamplifier to produce a rectangular clock output waveform. Despite the advances in clock-signal preamplifiers, a remaining obstacle to obtaining low timing jitter in the conversion of a sinusoidal timing reference signal to an amplified and rectangular waveform signal is the need to increase the slope of the output voltage waveform at its voltage transition points so that the preamplifier introduces less timing signal jitter in the generation of a rectangular output waveform.
A need thus exists for a clock-signal preamplifier that can amplify a sinusoidal timing reference signal, convert it to a rectangular waveform, and produce output voltage transitions with increased slope, resulting in less timing jitter of the output voltage waveform than is achieved by the prior art.
Embodiments of the present invention achieve technical advantages as a clock-signal preamplifier with low timing jitter in the output signal. The input signal to the preamplifier is typically a sinusoidal waveform, and the output signal is a rectangular waveform. In a preferred embodiment, the clock-signal preamplifier comprises complementary pairs of differentially coupled transistors, and terminals of the differentially coupled transistors are clamped with a pair of diode clamper circuits. In a preferred embodiment, the differentially coupled transistors are bipolar transistors and their collector terminals are clamped with the pair of diode clamper circuits. In a further embodiment, the differentially coupled transistors are MOSFET transistors. The output signal from the preamplifier is preferably coupled to an inverter comprising a totem-pole arrangement of complementary MOSFET transistors. Preferably, the diode clamper circuits comprise bipolar transistors coupled to the complementary pairs of differentially coupled transistors. A reference voltage source is coupled to the control terminals of the clamper transistors. The reference voltage source, which provides a reference voltage for the diode clamper circuits, preferably comprises a totem-pole arrangement of complementary MOSFET transistors with its output node coupled to its input node. Preferably, MOSFET transistors of the reference voltage source and MOSFET transistors of like kind of the inverter are configured to have substantially identical threshold voltages. In a preferred embodiment, the reference voltage produced by the reference voltage source is by-passed to a quiet voltage node in the circuit such as circuit ground or a bias voltage node.
In accordance with another preferred embodiment of the present invention, a digital signal processing system comprises a clock-signal preamplifier with low output signal timing jitter. The input signal to the preamplifier is typically a sinusoidal waveform, and the output signal is a rectangular waveform. In a preferred embodiment, the clock-signal preamplifier comprises complementary pairs of differentially coupled transistors, and terminals of the differentially coupled transistors are clamped with a pair of diode clamper circuits. Preferably, the differentially coupled transistors are bipolar transistors and their collector terminals are clamped with the pair of diode clamper circuits. In a further embodiment, the differentially coupled transistors are MOSFET transistors. The output signal from the preamplifier is preferably coupled to an inverter comprising a totem-pole arrangement of complementary MOSFET transistors. Preferably, the diode clamper circuits comprise bipolar transistors coupled to the complementary pairs of differentially coupled transistors. A reference voltage source is coupled to the control terminals of the clamper transistors. The reference voltage source, which provides a reference voltage for the diode clamper circuits, preferably comprises a totem-pole arrangement of complementary MOSFET transistors with its output node coupled to its input node. Preferably, MOSFET transistors of the reference voltage source and MOSFET transistors of like kind of the inverter are configured to have substantially identical threshold voltages. In a preferred embodiment, the reference voltage produced by the reference voltage source is by-passed to a quiet voltage node in the circuit such as circuit ground or a bias voltage node.
Another embodiment of the present invention is a method of configuring a clock-signal preamplifier to convert an input signal to an output signal with a rectangular waveform with low timing jitter. Preferably, the method includes coupling a sinusoidal input signal waveform to the input of the preamplifier. The method further includes comprising the clock-signal preamplifier with complementary pairs of differentially coupled transistors, and clamping the terminals of the differentially coupled transistors with a pair of diode clamper circuits. Preferably, the method includes using bipolar transistors for the differentially coupled transistors and clamping their collector terminals with the pair of diode clamper circuits. In a further embodiment, the method includes using MOSFET transistors for the differentially coupled transistors. In a preferred embodiment, the method includes coupling the output signal from the preamplifier to an inverter comprising a totem-pole arrangement of complementary MOSFET transistors. Preferably, the method includes comprising the diode clamper circuits with bipolar transistors and coupling the diode clamper circuits to the complementary pairs of differentially coupled transistors. The method preferably includes coupling a reference voltage source to the control terminals of the clamper transistors. In a preferred embodiment, the method includes comprising the reference voltage source, which provides a reference voltage for the diode clamper circuits, with a totem-pole arrangement of complementary MOSFET transistors, and coupling the output node of the totem-pole to its input node. In a preferred embodiment, the method includes using MOSFET transistors in the reference voltage source with substantially identical threshold voltages as MOSFET transistors of like kind in the inverter. In a preferred embodiment, the method includes by-passing the reference voltage produced by the reference voltage source to a quiet voltage node in the circuit such as circuit ground or a bias voltage node.
The invention solves the preamplifier jitter problem by making use of a bipolar complementary circuit wherein two differential pairs are constantly active and driven out of phase. The required phase splitter circuitry is implemented with a low-noise all-passive RC network which shifts and reverts the phases as needed. To prevent saturation of the active devices, a basic diode clamp network limits the swing on the collectors around the trip point of the cascaded inverter trailing the preamplifier, still allowing for the ensuing regenerative CMOS inversion out of the clamped voltage swing.
Embodiments of the present invention achieve technical advantages as a clock-signal preamplifier that converts a sinusoidal reference waveform into a rectangular waveform with very rapid waveform transitions. Advantages of embodiments of the present invention include a clock-signal preamplifier with very little added timing jitter above that contributed by the input reference waveform.
For a more complete understanding of the present invention, and the advantages thereof, reference is now made to the following descriptions taken in conjunction with the accompanying drawings, in which:
The making and using of the presently preferred embodiments are discussed in detail below. It should be appreciated, however, that the present invention provides many applicable inventive concepts that can be embodied in a wide variety of specific contexts. The specific embodiments discussed are merely illustrative of specific ways to make and use the invention, and do not limit the scope of the invention.
Embodiments of the present invention will be described with respect to preferred embodiments in a specific context, namely a clock signal preamplifier comprising two complementary pairs of differentially coupled transistors, coupled in series between the circuit nodes of a bias voltage source, that produces a rectangular output waveform with very fast voltage transitions from a sinusoidal input voltage, and with very little timing jitter. The clock signal preamplifier preferably comprises bipolar devices and includes diode clampers comprising a totem-pole arrangement of bipolar transistors. The diode clampers are coupled to the collectors of the pairs of differentially coupled transistors to provide upper and lower voltage limits for the collector voltages, thereby preventing saturation of the differentially coupled transistors. The base terminals of the bipolar transistors in the diode clampers are coupled to a replica bias voltage source that replicates, in this embodiment, the threshold voltage of inverters coupled to the output of the clock signal preamplifier to provide a well controlled voltage in the circuit for the output voltage switching transitions.
Alternative embodiments include a clock signal preamplifier comprising complementary pairs of differentially coupled CMOS transistors with diode clampers for the drains of the CMOS transistors optionally included in the circuit. When the diode clampers are omitted, replica bias voltage sources that replicate the threshold voltage of inverters coupled to the output of the clock signal preamplifier are also unnecessary.
With reference to
A differential sinusoidal input signal is coupled, as illustrated in
Diode clampers 350 and 354 formed with n-channel transistors 306 and 328 and p-channel transistors 308 and 330 establish stiff voltage clamping limits for the collectors of the two complementary pairs of differential input, preamplifier transistors comprising bipolar transistors 316, 324, 318, and 326. The reference voltage for the diode clampers is preferably set at the trip voltage of inverter loads driven by the preamplifier, and is set by replica bias circuits, as described below, coupled to the base terminals of the diode clamper transistors. Alternatively, an external bias circuit with a low output impedance can be used to set the reference voltage for the diode clampers. The diode clampers comprise a totem-pole arrangement of an npn and a pnp transistor coupled between the bias voltage circuit nodes VDD and VSS. Resistors, 312 and 314, and 332 and 334 are optionally included in series with the diode clampers to limit current spikes during the voltage transitions of the output clock voltage signal.
The replica bias circuits, such as the replica bias circuit comprising a totem-pole arrangement of the p-channel MOSFET 302 and the n-channel MOSFET 304, and the totem-pole arrangement of the p-channel MOSFET 338 and the n-channel MOSFET 340, replicate inverter loads driven by the preamplifier. The totem poles are arranged with their outputs coupled to their inputs, which produces a voltage at the threshold voltage of the MOSFETs on circuit nodes 303 and 305. These voltages set the base voltage of the bipolar transistors in the diode clampers 350 and 354. The voltages on circuit nodes 303 and 305 are each by-passed for improved timing jitter performance with a capacitor to a quiet, steady, voltage source by the capacitors 310 and 336, which are coupled to a quiet noise point of the circuit, circuit node 311. A quiet noise point of the circuit is a circuit node such as circuit ground or a bias voltage source circuit node such as the circuit nodes VSS or VDD illustrated in the figure.
Resistors 320 and 322 in series with the two complementary pairs of differential input transistor of the preamplifier act as current sources and supply an average current of about 1 mA. Of course, other current levels are well within the broad scope of the present invention. These resistors are shown coupling the differential input transistor pairs to the bias voltage sources VDD and VSS. Alternatively, these resistors can be replaced within the broad scope of the present invention with active current sources such as with bipolar transistors, or by appropriate selection and biasing of NMOS and PMOS transistors as current sources, as is well known in the art. Resistors are the preferred implementation of these current sources for their low noise characteristics.
The output voltage from the preamplifier in the circuit as illustrated in
The inverter loads, 394 and 396, for the preamplifier comprise a first totem-pole arrangement of p-channel MOSFET 382 and n-channel MOSFET 384, and a second totem-pole arrangement of p-channel MOSFET 386 and n-channel MOSFET 388. The inverter loads are coupled to the bias voltage source at circuit nodes VDD and VSS. The trip voltage of these inverters matches the replica bias voltage as described above by matching of the respective transistors. The inverters are driven by the output signals VINTP and VINTN from the preamplifier, and produce inverted single-ended rectangular waveform output signals at the circuit nodes VOUTP and VOUTN.
Turning next to
The usage of bipolar transistors does not per se provide the timing improvement observed with the present invention. A simulation run of a circuit of the prior art with an npn differential pair and an active pnp load used as a current source yields as much as 515 fs as opposed to the 107 fs observed for the circuit of the present invention. Circuit variations of the present invention, such as substituting npn and pnp current sources for the resistors such as 320 and 322 in
Turning now to
The clock-signal preamplifier described herein can reduce the noise introduced by the clock generation and distribution network down to 107 fs as estimated by simulation, enabling 149 fs total aperture jitter for the clock chain, simulated at a final Sample/Hold sampling switch. Moreover, it affords high speed of operation (operation in excess of 125 MHz has been successfully simulated), and can drive a standard CMOS clock distribution chain. This translates into very low, state-of-the-art, aperture timing jitter figures at a sampling switch, which ultimately improves the SNR for a sampled-signal system. In particular, the new circuit yields dramatic SNR performance enhancement for a switched-capacitor analog-to-digital converter.
The new circuit has been incorporated into a novel clock structure that was implemented for a high-speed (65+MS/s), high-input frequency circuit arrangement for use in receivers with up to 225 MHz IF (intermediate frequency) with a 16-bit ADC. The jitter contributed by the preamplifier alone was reduced from 300+fs to 107 fs, as determined by simulation using an ad-hoc transient noise technique. Simulation of timing jitter is described by A. Zanchi, et al., in the paper “A 16-Bit 65 MS/s 3.3 V Pipeline ADC Core in SiGe BiCMOS with 78-dB SNR and 180 fs Jitter,” as cited above. The optimized aperture sampling noise boosted the theoretical SNR performance of the ADC from about 67 dBFS (dB referenced to 0 dB at full scale voltage) at 225 MHz input to as high as 76.4 dBFS in the same operating conditions, where the noise of the system was largely dominated by the preamplifier jitter.
Although embodiments of the present invention and its advantages have been described in detail, it should be understood that various changes, substitutions and alterations can be made herein without departing from the spirit and scope of the invention as defined by the appended claims. For example, it will be readily understood by those skilled in the art that the circuits, circuit elements, and utilization of techniques to form the processes and systems providing reduced timing jitter as described herein may be varied while remaining within the broad scope of the present invention.
Moreover, the scope of the present application is not intended to be limited to the particular embodiments of the process, machine, manufacture, composition of matter, means, methods and steps described in the specification. As one of ordinary skill in the art will readily appreciate from the disclosure of the present invention, processes, machines, manufacture, compositions of matter, means, methods, or steps, presently existing or later to be developed, that perform substantially the same function or achieve substantially the same result as the corresponding embodiments described herein may be utilized according to the present invention. Accordingly, the appended claims are intended to include within their scope such processes, machines, manufacture, compositions of matter, means, methods, or steps.
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